\[ ab - 2a - 2b - 2 = 0 \]

Which of the following pairs of numbers \( (a, b) \) is a solution to the equation above?

\(\begin{array}{r r l}
&\text{I.}\ &(3, 8)\\

&\text{II.}\ &(4, 5)\\

&\text{III.}\ &(4.5, 4.5)\\
\end{array}\)

(A)\(\ \ \) I only

(B)\(\ \ \) II only

(C)\(\ \ \) I and II only

(D)\(\ \ \) I and III only

(E)\(\ \ \) I, II and III

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